Q. Determine the smallest integer value of x in the solution of the following inequality.4x−8>−5Answer: x=
Isolate variable term: Isolate the variable term on one side of the inequality. To do this, we need to add 8 to both sides of the inequality to cancel out the −8 on the left side. 4x−8+8>−5+8
Simplify both sides: Simplify both sides of the inequality. 4x>3
Divide by coefficient: Divide both sides of the inequality by the coefficient of x to solve for x.44x>43
Simplify after dividing: Simplify the inequality after dividing. x>43
Find smallest integer: Find the smallest integer value of x that satisfies the inequality.Since x must be greater than 43, the smallest integer value that is greater than 43 is 1.
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